Finding the Third Proportional to 65,876 and 146,490

Step by Step Solution

1. Step 1: Write the proportion equation
   65,876 : 146,490 = 146,490 : x
2. Step 2: Convert to fraction form
   65,876/146,490 = 146,490/x
3. Step 3: Cross multiply
   65,876x = 146,490 × 146,490
4. Step 4: Simplify right side
   65,876x = 21,459,320,100
5. Step 5: Solve for x
   x = 21,459,320,100/65,876
6. Step 6: Final answer
   x = 325,753.23